The Concealed Voter Model is in the Voter Model universality class

TL;DR

This paper demonstrates that the Concealed Voter Model, an extension of the Voter Model with private opinions, shares the same universality class, characterized by critical exponents derived through renormalized field theory.

Contribution

It establishes that the Concealed Voter Model belongs to the same universality class as the original Voter Model by deriving its critical exponents.

Findings

Both models are in the compact directed percolation universality class.

Critical exponents for the CVM are derived via renormalized field theory.

The CVM extends the Voter Model with private opinions without changing universality class.

Abstract

The Concealed Voter Model (CVM) is an extension of the original Voter Model, where two different opinions compete until consensus is reached. In the CVM, agents express an opinion not only publicly, they also hold a private opinion, which they may disclose or change. In this paper I derive the critical exponents of both models via renormalised field theory and show that both belong to the compact directed percolation universality class.